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Finding the Fourth Proportional to 1,080.77, 1,490.64 and 726.57

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Solution

The fourth proportional to 1,080.77, 1,490.64 and 726.57 is: 1,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.77 : 1,490.64 = 726.57 : x
  2. Step 2: Convert to fraction form
    1,080.77/1,490.64 = 726.57/x
  3. Step 3: Cross multiply
    1,080.77x = 1,490.64 × 726.57
  4. Step 4: Simplify right side
    1,080.77x = 1,083,054.30
  5. Step 5: Solve for x
    x = 1,083,054.30/1,080.77
  6. Step 6: Final answer
    x = 1,002.12

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.